t^2-2td-24d^2=

Solution for t^2-2td-24d^2= equation:

Simplifying
t2 + -2td + -24d2 = 0

Reorder the terms:
-2dt + -24d2 + t2 = 0

Solving
-2dt + -24d2 + t2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-4d + -1t)(6d + -1t) = 0

Subproblem 1
Set the factor '(-4d + -1t)' equal to zero and attempt to solve:

Simplifying
-4d + -1t = 0

Solving
-4d + -1t = 0

Move all terms containing d to the left, all other terms to the right.

Add 't' to each side of the equation.
-4d + -1t + t = 0 + t

Combine like terms: -1t + t = 0
-4d + 0 = 0 + t
-4d = 0 + t
Remove the zero:
-4d = t

Divide each side by '-4'.
d = -0.25t

Simplifying
d = -0.25t
Subproblem 2
Set the factor '(6d + -1t)' equal to zero and attempt to solve:

Simplifying
6d + -1t = 0

Solving
6d + -1t = 0

Move all terms containing d to the left, all other terms to the right.

Add 't' to each side of the equation.
6d + -1t + t = 0 + t

Combine like terms: -1t + t = 0
6d + 0 = 0 + t
6d = 0 + t
Remove the zero:
6d = t

Divide each side by '6'.
d = 0.1666666667t

Simplifying
d = 0.1666666667t
Solution
d = {-0.25t, 0.1666666667t}